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Birkhoff's Theorem in Lovelock Gravity for General Base Manifolds · Around

2015

Birkhoff's Theorem in Lovelock Gravity for General Base Manifolds

Ray, Sourya

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We extend the Birkhoff's theorem in Lovelock gravity for arbitrary base manifolds using an elementary method.

In particular, it is shown that any solution of the form of a warped product of a two-dimensional transverse space and an arbitrary base manifold must be static.
Moreover, the field equations restrict the base manifold such that all the non-trivial intrinsic Lovelock tensors of the base manifold are constants, which can be chosen arbitrarily, and the metric in the transverse space is determined by a single function of a spacelike coordinate which satisfies an algebraic equation involving the constants characterizing the base manifold along with the coupling constants.

Built on

O. Sutô, Tôhoku Math. J. 6
1914
Earlier work this paper cites.
D. Lovelock, J. Math. Phys. 12
1971
Earlier work this paper cites.
J. T. Wheeler, Nucl. Phys. B 273
1986
Earlier work this paper cites.
C. Böhm, Invent. Math. 134
1998
Earlier work this paper cites.
J. Crisostomo, R. Troncoso and J. Zanelli, Phys. Rev. D 62
2000
Earlier work this paper cites.
G. W. Gibbons, D. Ida and T. Shiromizu, Phys. Rev. Lett. 89
2002
Earlier work this paper cites.
G. W. Gibbons, D. Ida and T. Shiromizu, Prog. Theor. Phys. Suppl. 148
2003
Earlier work this paper cites.

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